Search a number
-
+
120121120002123 = 331710121112280127
BaseRepresentation
bin11011010011111111100000…
…101100000001000001001011
3120202022110121101102122112000
4123103333200230001001023
5111221031023210031443
61103250514122522043
734205315222210652
oct3323774054010113
9522273541378460
10120121120002123
1135302098765519
1211580340066323
1352044b0679096
142193c71040199
15dd495cae38d3
hex6d3fe0b0104b

120121120002123 has 64 divisors (see below), whose sum is σ = 191192751267840. Its totient is φ = 74270202048000.

The previous prime is 120121120002119. The next prime is 120121120002209. The reversal of 120121120002123 is 321200021121021.

It is not a de Polignac number, because 120121120002123 - 22 = 120121120002119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120121120002096 and 120121120002105.

It is not an unprimeable number, because it can be changed into a prime (120121120012123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3641686 + ... + 15921812.

It is an arithmetic number, because the mean of its divisors is an integer number (2987386738560).

Almost surely, 2120121120002123 is an apocalyptic number.

120121120002123 is a deficient number, since it is larger than the sum of its proper divisors (71071631265717).

120121120002123 is a wasteful number, since it uses less digits than its factorization.

120121120002123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12280465 (or 12280459 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120121120002123 its reverse (321200021121021), we get a palindrome (441321141123144).

The spelling of 120121120002123 in words is "one hundred twenty trillion, one hundred twenty-one billion, one hundred twenty million, two thousand, one hundred twenty-three".

Divisors: 1 3 9 17 27 51 101 153 211 303 459 633 909 1717 1899 2727 3587 5151 5697 10761 15453 21311 32283 46359 63933 96849 191799 362287 575397 1086861 3260583 9781749 12280127 36840381 110521143 208762159 331563429 626286477 1240292827 1878859431 2591106797 3720878481 5636578293 7773320391 11162635443 21084978059 23319961173 33487906329 44048815549 63254934177 69959883519 132146446647 189764802531 261701786497 396439339941 569294407593 785105359491 1189318019823 2355316078473 4448930370449 7065948235419 13346791111347 40040373334041 120121120002123